SOLUTION: Complex Fraction Question: 1/9 + 1/3x / x/9 - 1/x 1/9 + 1/3x(9)/ x/9 - 1/x(9) my answer came up to be 1/3x / 9 Where did I go wrong? Please help

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Complex Fraction Question: 1/9 + 1/3x / x/9 - 1/x 1/9 + 1/3x(9)/ x/9 - 1/x(9) my answer came up to be 1/3x / 9 Where did I go wrong? Please help      Log On


   

Question 194418: Complex Fraction
Question: 1/9 + 1/3x / x/9 - 1/x
1/9 + 1/3x(9)/ x/9 - 1/x(9)
my answer came up to be 1/3x / 9
Where did I go wrong? Please help
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
+%281%2F9+%2B+1%2F%283x%29%29+%2F+%28x%2F9+-+1%2Fx%29+
Get the numerator over a common denominator.
+%28%283x%2B9%29%2F%2827x%29%29+%2F+%28x%2F9+-+1%2Fx%29+
Get the denominator over a common denominator
+%28%283x%2B9%29%2F%2827x%29%29+%2F+%28%28x%5E2+-9%29%2F9x%29+
Invert and multiply
+%28%283x%2B9%29%2F%2827x%29%29+%2A+%289x%2F%28x%5E2+-9%29%29+
Cancel what you can right now
+%28%283x%2B9%29%2F%283%29%29+%2A+%281%2F%28x%5E2+-9%29%29+
+%28%28x%2B3%29%2F1%29+%2A+%281%2F%28x%5E2+-9%29%29+
Multiply
+%28x%2B3%29%2F%28x%5E2+-9%29+
Factor
+%28x%2B3%29%2F%28%28x%2B3%29%28x-3%29%29
Cancel
+1%2F%28x-3%29
Hope that helps!